{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lab - 8.3.2 Fitting Regression Trees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from sklearn.datasets import load_boston\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.model_selection import train_test_split,cross_val_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn import tree\n",
    "\n",
    "import graphviz\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1.0</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0  296.0   \n",
       "1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0  242.0   \n",
       "2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0  242.0   \n",
       "3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0  222.0   \n",
       "4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  MEDV  \n",
       "0     15.3  396.90   4.98  24.0  \n",
       "1     17.8  396.90   9.14  21.6  \n",
       "2     17.8  392.83   4.03  34.7  \n",
       "3     18.7  394.63   2.94  33.4  \n",
       "4     18.7  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# loading the dataset\n",
    "boston_data = load_boston()\n",
    "boston = pd.DataFrame(boston_data.data,columns = boston_data['feature_names'])\n",
    "boston['MEDV'] = boston_data['target']\n",
    "boston.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, i would advice you to get familier with the data, since its an inbuilt dataset, we can use boston_data.DESCR to get mode information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\".. _boston_dataset:\\n\\nBoston house prices dataset\\n---------------------------\\n\\n**Data Set Characteristics:**  \\n\\n    :Number of Instances: 506 \\n\\n    :Number of Attributes: 13 numeric/categorical predictive. Median Value (attribute 14) is usually the target.\\n\\n    :Attribute Information (in order):\\n        - CRIM     per capita crime rate by town\\n        - ZN       proportion of residential land zoned for lots over 25,000 sq.ft.\\n        - INDUS    proportion of non-retail business acres per town\\n        - CHAS     Charles River dummy variable (= 1 if tract bounds river; 0 otherwise)\\n        - NOX      nitric oxides concentration (parts per 10 million)\\n        - RM       average number of rooms per dwelling\\n        - AGE      proportion of owner-occupied units built prior to 1940\\n        - DIS      weighted distances to five Boston employment centres\\n        - RAD      index of accessibility to radial highways\\n        - TAX      full-value property-tax rate per $10,000\\n        - PTRATIO  pupil-teacher ratio by town\\n        - B        1000(Bk - 0.63)^2 where Bk is the proportion of blacks by town\\n        - LSTAT    % lower status of the population\\n        - MEDV     Median value of owner-occupied homes in $1000's\\n\\n    :Missing Attribute Values: None\\n\\n    :Creator: Harrison, D. and Rubinfeld, D.L.\\n\\nThis is a copy of UCI ML housing dataset.\\nhttps://archive.ics.uci.edu/ml/machine-learning-databases/housing/\\n\\n\\nThis dataset was taken from the StatLib library which is maintained at Carnegie Mellon University.\\n\\nThe Boston house-price data of Harrison, D. and Rubinfeld, D.L. 'Hedonic\\nprices and the demand for clean air', J. Environ. Economics & Management,\\nvol.5, 81-102, 1978.   Used in Belsley, Kuh & Welsch, 'Regression diagnostics\\n...', Wiley, 1980.   N.B. Various transformations are used in the table on\\npages 244-261 of the latter.\\n\\nThe Boston house-price data has been used in many machine learning papers that address regression\\nproblems.   \\n     \\n.. topic:: References\\n\\n   - Belsley, Kuh & Welsch, 'Regression diagnostics: Identifying Influential Data and Sources of Collinearity', Wiley, 1980. 244-261.\\n   - Quinlan,R. (1993). Combining Instance-Based and Model-Based Learning. In Proceedings on the Tenth International Conference of Machine Learning, 236-243, University of Massachusetts, Amherst. Morgan Kaufmann.\\n\""
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boston_data['DESCR'] # I don't think that's good enough to read"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "here, this is better - \n",
    "- CRIM - per capita crime rate by town\n",
    "- ZN - proportion of residential land zoned for lots over 25,000 sq.ft.\n",
    "- INDUS - proportion of non-retail business acres per town.\n",
    "- CHAS - Charles River dummy variable (1 if tract bounds river; 0 otherwise)\n",
    "- NOX - nitric oxides concentration (parts per 10 million)\n",
    "- RM - average number of rooms per dwelling\n",
    "- AGE - proportion of owner-occupied units built prior to 1940\n",
    "- DIS - weighted distances to five Boston employment centres\n",
    "- RAD - index of accessibility to radial highways\n",
    "- TAX - full-value property-tax rate per $10,000\n",
    "\n",
    "- PTRATIO - pupil-teacher ratio by town\n",
    "- B - 1000(Bk - 0.63)^2 where Bk is the proportion of blacks by town\n",
    "- LSTAT - % lower status of the population\n",
    "- MEDV - Median value of owner-occupied homes in $1000's"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "soucrs - [https://www.cs.toronto.edu/~delve/data/boston/bostonDetail.html]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Its better that we go through the above list once, so that we know what we are dealing with here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#splitting the data into train and test \n",
    "X_train,X_test,y_train,y_test = train_test_split(boston.drop('MEDV',axis = 1),boston['MEDV'],test_size = 0.5,random_state = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training score  1.0\n",
      "Test scire  0.6569149609605587\n"
     ]
    }
   ],
   "source": [
    "reg = DecisionTreeRegressor()\n",
    "reg.fit(X_train,y_train)\n",
    "print('Training score ',reg.score(X_train,y_train))\n",
    "print('Test scire ',reg.score(X_test,y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training score  0.9499393843712041\n",
      "Test scire  0.691786318131009\n"
     ]
    }
   ],
   "source": [
    "# from the above results, it looks like the tree is overfitting, we will set a max_depth parameter \n",
    "reg = DecisionTreeRegressor(max_depth = 5)\n",
    "reg.fit(X_train,y_train)\n",
    "print('Training score ',reg.score(X_train,y_train))\n",
    "print('Test scire ',reg.score(X_test,y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "scores_dict = {}\n",
    "for max_depth in np.arange(2,15):\n",
    "    reg = DecisionTreeRegressor(max_depth = max_depth)\n",
    "    scores_dict[max_depth] = -np.mean(cross_val_score(reg,boston.drop('MEDV',axis = 1),boston['MEDV'],\n",
    "                                                      scoring = 'neg_mean_squared_error',cv = 10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x28eeb4dcd30>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10,6))\n",
    "plt.plot(list(scores_dict.keys()),list(scores_dict.values()),marker ='o')\n",
    "plt.plot(min(scores_dict, key=scores_dict.get),min(list(scores_dict.values())),marker = 'o',markersize = 8,color = 'r',label = 'Best Tree')\n",
    "plt.xlabel('Depth of Tree')\n",
    "plt.ylabel('10 CV accuracy')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training score  0.980549216271865\n",
      "Test scpre  0.6666259185097169\n"
     ]
    }
   ],
   "source": [
    "best_tree = DecisionTreeRegressor(max_depth=7)\n",
    "\n",
    "# lets see its performance on unseen data \n",
    "best_tree.fit(X_train,y_train)\n",
    "print('Training score ',best_tree.score(X_train,y_train))\n",
    "print('Test scpre ',best_tree.score(X_test,y_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that we are getting lower test score for tree with max_depth = 7, than for a tree with max depth = 5. But remember, this is only for few data points. Cross val error is a better estimate of test error than validation set error. And tree with size 7 has lower cross validatoin error as compared to tree with size 5."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The best error is for the tree whose size is 7."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualing the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
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       "<text text-anchor=\"middle\" x=\"282\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.83</text>\r\n",
       "<text text-anchor=\"middle\" x=\"282\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"282\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.72</text>\r\n",
       "</g>\r\n",
       "<!-- 10&#45;&gt;11 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"389\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.01</text>\r\n",
       "<text text-anchor=\"middle\" x=\"389\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"389\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 23.2</text>\r\n",
       "</g>\r\n",
       "<!-- 10&#45;&gt;12 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"399\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"399\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"399\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 27.1</text>\r\n",
       "</g>\r\n",
       "<!-- 13&#45;&gt;14 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"502\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"502\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"502\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 27.5</text>\r\n",
       "</g>\r\n",
       "<!-- 13&#45;&gt;15 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"800\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 51.1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 12.905</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 30</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 29.307</text>\r\n",
       "</g>\r\n",
       "<!-- 16&#45;&gt;17 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1006\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">TAX &lt;= 270.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.964</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 34.76</text>\r\n",
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       "<!-- 16&#45;&gt;24 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"629\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">PTRATIO &lt;= 18.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"629\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 7.328</text>\r\n",
       "<text text-anchor=\"middle\" x=\"629\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 18</text>\r\n",
       "<text text-anchor=\"middle\" x=\"629\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 30.978</text>\r\n",
       "</g>\r\n",
       "<!-- 17&#45;&gt;18 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"800\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RAD &lt;= 2.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 10.798</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 12</text>\r\n",
       "<text text-anchor=\"middle\" x=\"800\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 26.8</text>\r\n",
       "</g>\r\n",
       "<!-- 17&#45;&gt;21 -->\r\n",
       "<g id=\"edge21\" class=\"edge\"><title>17&#45;&gt;21</title>\r\n",
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       "<polygon fill=\"#efb489\" stroke=\"black\" points=\"553.5,-53 462.5,-53 462.5,-0 553.5,-0 553.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"508\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.454</text>\r\n",
       "<text text-anchor=\"middle\" x=\"508\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 14</text>\r\n",
       "<text text-anchor=\"middle\" x=\"508\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 31.9</text>\r\n",
       "</g>\r\n",
       "<!-- 18&#45;&gt;19 -->\r\n",
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       "<polygon fill=\"#f2bf9b\" stroke=\"black\" points=\"664,-53 572,-53 572,-0 664,-0 664,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"618\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.492</text>\r\n",
       "<text text-anchor=\"middle\" x=\"618\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"618\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 27.75</text>\r\n",
       "</g>\r\n",
       "<!-- 18&#45;&gt;20 -->\r\n",
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       "<polygon fill=\"#f4c9aa\" stroke=\"black\" points=\"774,-53 682,-53 682,-0 774,-0 774,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"728\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.562</text>\r\n",
       "<text text-anchor=\"middle\" x=\"728\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"728\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 24.38</text>\r\n",
       "</g>\r\n",
       "<!-- 21&#45;&gt;22 -->\r\n",
       "<g id=\"edge22\" class=\"edge\"><title>21&#45;&gt;22</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M774.818,-88.9485C767.987,-79.9834 760.584,-70.2666 753.724,-61.2629\"/>\r\n",
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       "<polygon fill=\"#f1bd97\" stroke=\"black\" points=\"890,-53 792,-53 792,-0 890,-0 890,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"841\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 8.082</text>\r\n",
       "<text text-anchor=\"middle\" x=\"841\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"841\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 28.529</text>\r\n",
       "</g>\r\n",
       "<!-- 21&#45;&gt;23 -->\r\n",
       "<g id=\"edge23\" class=\"edge\"><title>21&#45;&gt;23</title>\r\n",
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       "<polygon fill=\"#eda673\" stroke=\"black\" points=\"1055,-157 957,-157 957,-89 1055,-89 1055,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 393.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.647</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1006\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 36.825</text>\r\n",
       "</g>\r\n",
       "<!-- 24&#45;&gt;25 -->\r\n",
       "<g id=\"edge25\" class=\"edge\"><title>24&#45;&gt;25</title>\r\n",
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       "<polygon fill=\"#efb082\" stroke=\"black\" points=\"1216,-157 1118,-157 1118,-89 1216,-89 1216,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">ZN &lt;= 40.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.105</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 33.383</text>\r\n",
       "</g>\r\n",
       "<!-- 24&#45;&gt;28 -->\r\n",
       "<g id=\"edge28\" class=\"edge\"><title>24&#45;&gt;28</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"954\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.003</text>\r\n",
       "<text text-anchor=\"middle\" x=\"954\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"954\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 36.05</text>\r\n",
       "</g>\r\n",
       "<!-- 25&#45;&gt;26 -->\r\n",
       "<g id=\"edge26\" class=\"edge\"><title>25&#45;&gt;26</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M987.813,-88.9485C983.031,-80.2579 977.86,-70.8608 973.035,-62.0917\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"1061\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.09</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1061\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1061\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 37.6</text>\r\n",
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       "<!-- 25&#45;&gt;27 -->\r\n",
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       "<polygon fill=\"#efb387\" stroke=\"black\" points=\"1214,-53 1122,-53 1122,-0 1214,-0 1214,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1168\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.523</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1168\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1168\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 32.25</text>\r\n",
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       "<!-- 28&#45;&gt;29 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1278\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.562</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1278\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1278\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 35.65</text>\r\n",
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       "<!-- 28&#45;&gt;30 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1503\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 394.805</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1503\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.79</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1503\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1503\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 48.636</text>\r\n",
       "</g>\r\n",
       "<!-- 31&#45;&gt;32 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1620\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 44.35</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1620\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 13.714</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1620\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1620\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 41.257</text>\r\n",
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       "<!-- 31&#45;&gt;41 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1382\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">PTRATIO &lt;= 14.8</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1382\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.952</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1382\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1382\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 49.27</text>\r\n",
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       "<!-- 32&#45;&gt;33 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1505\" y=\"-342.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1505\" y=\"-327.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1505\" y=\"-312.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 42.3</text>\r\n",
       "</g>\r\n",
       "<!-- 32&#45;&gt;40 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1278\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">LSTAT &lt;= 3.755</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1278\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.32</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1278\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1278\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 49.7</text>\r\n",
       "</g>\r\n",
       "<!-- 33&#45;&gt;34 -->\r\n",
       "<g id=\"edge34\" class=\"edge\"><title>33&#45;&gt;34</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1397\" y=\"-238.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1397\" y=\"-223.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1397\" y=\"-208.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 45.4</text>\r\n",
       "</g>\r\n",
       "<!-- 33&#45;&gt;39 -->\r\n",
       "<g id=\"edge39\" class=\"edge\"><title>33&#45;&gt;39</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1277\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1277\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1277\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 50.0</text>\r\n",
       "</g>\r\n",
       "<!-- 34&#45;&gt;35 -->\r\n",
       "<g id=\"edge35\" class=\"edge\"><title>34&#45;&gt;35</title>\r\n",
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       "<polygon fill=\"#e5833c\" stroke=\"black\" points=\"1444.5,-157 1337.5,-157 1337.5,-89 1444.5,-89 1444.5,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1391\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 0.549</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1391\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.467</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1391\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1391\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 49.325</text>\r\n",
       "</g>\r\n",
       "<!-- 34&#45;&gt;36 -->\r\n",
       "<g id=\"edge36\" class=\"edge\"><title>34&#45;&gt;36</title>\r\n",
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       "<polygon fill=\"#e6853f\" stroke=\"black\" points=\"1436,-53 1344,-53 1344,-0 1436,-0 1436,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1390\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.023</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1390\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1390\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 48.65</text>\r\n",
       "</g>\r\n",
       "<!-- 36&#45;&gt;37 -->\r\n",
       "<g id=\"edge37\" class=\"edge\"><title>36&#45;&gt;37</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1390.65,-88.9485C1390.56,-80.7153 1390.47,-71.848 1390.38,-63.4814\"/>\r\n",
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       "<polygon fill=\"#e58139\" stroke=\"black\" points=\"1539.5,-53 1454.5,-53 1454.5,-0 1539.5,-0 1539.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1497\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1497\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1497\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 50.0</text>\r\n",
       "</g>\r\n",
       "<!-- 36&#45;&gt;38 -->\r\n",
       "<g id=\"edge38\" class=\"edge\"><title>36&#45;&gt;38</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1428.07,-88.9485C1438.54,-79.6175 1449.92,-69.4722 1460.36,-60.1641\"/>\r\n",
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       "<polygon fill=\"#e88f50\" stroke=\"black\" points=\"1666,-365 1568,-365 1568,-297 1666,-297 1666,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1617\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RAD &lt;= 5.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1617\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.749</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1617\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1617\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 44.833</text>\r\n",
       "</g>\r\n",
       "<!-- 41&#45;&gt;42 -->\r\n",
       "<g id=\"edge42\" class=\"edge\"><title>41&#45;&gt;42</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1619.03,-400.884C1618.79,-392.778 1618.53,-383.982 1618.28,-375.472\"/>\r\n",
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       "<polygon fill=\"#eca16b\" stroke=\"black\" points=\"1782,-365 1684,-365 1684,-297 1782,-297 1782,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">ZN &lt;= 10.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.902</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1733\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 38.575</text>\r\n",
       "</g>\r\n",
       "<!-- 41&#45;&gt;47 -->\r\n",
       "<g id=\"edge47\" class=\"edge\"><title>41&#45;&gt;47</title>\r\n",
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       "<polygon fill=\"#e99254\" stroke=\"black\" points=\"1559,-261 1459,-261 1459,-193 1559,-193 1559,-261\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1509\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">TAX &lt;= 260.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1509\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.01</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1509\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1509\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 43.9</text>\r\n",
       "</g>\r\n",
       "<!-- 42&#45;&gt;43 -->\r\n",
       "<g id=\"edge43\" class=\"edge\"><title>42&#45;&gt;43</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1620\" y=\"-238.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1620\" y=\"-223.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1620\" y=\"-208.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 46.7</text>\r\n",
       "</g>\r\n",
       "<!-- 42&#45;&gt;46 -->\r\n",
       "<g id=\"edge46\" class=\"edge\"><title>42&#45;&gt;46</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1505\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1505\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1505\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 44.0</text>\r\n",
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       "<!-- 43&#45;&gt;44 -->\r\n",
       "<g id=\"edge44\" class=\"edge\"><title>43&#45;&gt;44</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1608\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1608\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1608\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 43.8</text>\r\n",
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       "<!-- 43&#45;&gt;45 -->\r\n",
       "<g id=\"edge45\" class=\"edge\"><title>43&#45;&gt;45</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1729\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 84.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1729\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.807</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1729\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1729\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 39.7</text>\r\n",
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       "<!-- 47&#45;&gt;48 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1836\" y=\"-238.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1836\" y=\"-223.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1836\" y=\"-208.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 35.2</text>\r\n",
       "</g>\r\n",
       "<!-- 47&#45;&gt;53 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1727\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">LSTAT &lt;= 5.015</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1727\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.903</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1727\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1727\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 40.75</text>\r\n",
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       "<!-- 48&#45;&gt;49 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1846\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1846\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1846\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 37.6</text>\r\n",
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       "<!-- 48&#45;&gt;52 -->\r\n",
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       "<polygon fill=\"#ea985e\" stroke=\"black\" points=\"1718.5,-53 1633.5,-53 1633.5,-0 1718.5,-0 1718.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1676\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1676\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1676\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 41.7</text>\r\n",
       "</g>\r\n",
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       "<text text-anchor=\"middle\" x=\"1779\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1779\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1779\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 39.8</text>\r\n",
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       "<!-- 49&#45;&gt;51 -->\r\n",
       "<g id=\"edge51\" class=\"edge\"><title>49&#45;&gt;51</title>\r\n",
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       "<polygon fill=\"#f5d1b6\" stroke=\"black\" points=\"2807,-573 2709,-573 2709,-505 2807,-505 2807,-573\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2758\" y=\"-557.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.53</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2758\" y=\"-542.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 12.255</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2758\" y=\"-527.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 87</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2758\" y=\"-512.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.566</text>\r\n",
       "</g>\r\n",
       "<!-- 54&#45;&gt;55 -->\r\n",
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       "<polygon fill=\"#fae4d5\" stroke=\"black\" points=\"3959,-573 3861,-573 3861,-505 3959,-505 3959,-573\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-557.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DIS &lt;= 1.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-542.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 17.363</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-527.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 80</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-512.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.511</text>\r\n",
       "</g>\r\n",
       "<!-- 54&#45;&gt;94 -->\r\n",
       "<g id=\"edge94\" class=\"edge\"><title>54&#45;&gt;94</title>\r\n",
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       "<!-- 56 -->\r\n",
       "<g id=\"node57\" class=\"node\"><title>56</title>\r\n",
       "<polygon fill=\"#f6d3ba\" stroke=\"black\" points=\"2615,-469 2483,-469 2483,-401 2615,-401 2615,-469\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">PTRATIO &lt;= 18.65</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 6.248</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 74</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 20.784</text>\r\n",
       "</g>\r\n",
       "<!-- 55&#45;&gt;56 -->\r\n",
       "<g id=\"edge56\" class=\"edge\"><title>55&#45;&gt;56</title>\r\n",
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       "<g id=\"node76\" class=\"node\"><title>75</title>\r\n",
       "<polygon fill=\"#f3c4a3\" stroke=\"black\" points=\"3096.5,-469 2971.5,-469 2971.5,-401 3096.5,-401 3096.5,-469\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">PTRATIO &lt;= 19.3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 23.169</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 13</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 26.015</text>\r\n",
       "</g>\r\n",
       "<!-- 55&#45;&gt;75 -->\r\n",
       "<g id=\"edge75\" class=\"edge\"><title>55&#45;&gt;75</title>\r\n",
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       "<g id=\"node58\" class=\"node\"><title>57</title>\r\n",
       "<polygon fill=\"#f5d0b5\" stroke=\"black\" points=\"2270,-365 2170,-365 2170,-297 2270,-297 2270,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">TAX &lt;= 208.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 6.745</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 31</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.855</text>\r\n",
       "</g>\r\n",
       "<!-- 56&#45;&gt;57 -->\r\n",
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       "<!-- 66 -->\r\n",
       "<g id=\"node67\" class=\"node\"><title>66</title>\r\n",
       "<polygon fill=\"#f6d5bd\" stroke=\"black\" points=\"2599,-365 2499,-365 2499,-297 2599,-297 2599,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 99.45</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.466</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 43</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2549\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 20.012</text>\r\n",
       "</g>\r\n",
       "<!-- 56&#45;&gt;66 -->\r\n",
       "<g id=\"edge66\" class=\"edge\"><title>56&#45;&gt;66</title>\r\n",
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       "<!-- 58 -->\r\n",
       "<g id=\"node59\" class=\"node\"><title>58</title>\r\n",
       "<polygon fill=\"#f2bf9a\" stroke=\"black\" points=\"2105.5,-261 1998.5,-261 1998.5,-193 2105.5,-193 2105.5,-261\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 0.072</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.56</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 28.0</text>\r\n",
       "</g>\r\n",
       "<!-- 57&#45;&gt;58 -->\r\n",
       "<g id=\"edge58\" class=\"edge\"><title>57&#45;&gt;58</title>\r\n",
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       "<polygon fill=\"#f6d1b7\" stroke=\"black\" points=\"2269,-261 2171,-261 2171,-193 2269,-193 2269,-261\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 5.208</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.25</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 29</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2220\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.431</text>\r\n",
       "</g>\r\n",
       "<!-- 57&#45;&gt;61 -->\r\n",
       "<g id=\"edge61\" class=\"edge\"><title>57&#45;&gt;61</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1949\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1949\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1949\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 29.6</text>\r\n",
       "</g>\r\n",
       "<!-- 58&#45;&gt;59 -->\r\n",
       "<g id=\"edge59\" class=\"edge\"><title>58&#45;&gt;59</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2018.56,-192.884C2006.9,-181.336 1993.82,-168.387 1982.18,-156.86\"/>\r\n",
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       "<polygon fill=\"#f3c3a1\" stroke=\"black\" points=\"2094.5,-149.5 2009.5,-149.5 2009.5,-96.5 2094.5,-96.5 2094.5,-149.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2052\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 26.4</text>\r\n",
       "</g>\r\n",
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       "<text text-anchor=\"middle\" x=\"2155\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2155\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2155\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.3</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2266\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">TAX &lt;= 416.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2266\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.011</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2266\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 28</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2266\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.65</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2103\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.609</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2103\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 25</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2103\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.936</text>\r\n",
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       "<!-- 63&#45;&gt;64 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2219\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.002</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2219\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2219\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.267</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2492\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">INDUS &lt;= 5.16</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2492\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.831</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2492\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 42</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2492\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 20.143</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2606\" y=\"-238.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2606\" y=\"-223.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2606\" y=\"-208.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.5</text>\r\n",
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       "<!-- 66&#45;&gt;74 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2434\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RAD &lt;= 6.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2434\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.842</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2434\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2434\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 17.233</text>\r\n",
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       "<!-- 67&#45;&gt;68 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2550\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 57.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2550\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.36</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2550\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 39</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2550\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 20.367</text>\r\n",
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       "<!-- 67&#45;&gt;71 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2332\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.122</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2332\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2332\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 17.85</text>\r\n",
       "</g>\r\n",
       "<!-- 68&#45;&gt;69 -->\r\n",
       "<g id=\"edge69\" class=\"edge\"><title>68&#45;&gt;69</title>\r\n",
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       "<!-- 70 -->\r\n",
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       "<polygon fill=\"#f9e0cf\" stroke=\"black\" points=\"2481.5,-53 2396.5,-53 2396.5,-0 2481.5,-0 2481.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2439\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2439\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2439\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.0</text>\r\n",
       "</g>\r\n",
       "<!-- 68&#45;&gt;70 -->\r\n",
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       "<!-- 72 -->\r\n",
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       "<polygon fill=\"#f5d1b6\" stroke=\"black\" points=\"2590.5,-53 2499.5,-53 2499.5,-0 2590.5,-0 2590.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2545\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.425</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2545\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 12</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2545\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.6</text>\r\n",
       "</g>\r\n",
       "<!-- 71&#45;&gt;72 -->\r\n",
       "<g id=\"edge72\" class=\"edge\"><title>71&#45;&gt;72</title>\r\n",
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       "<polygon fill=\"#f6d6be\" stroke=\"black\" points=\"2707,-53 2609,-53 2609,-0 2707,-0 2707,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2658\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.799</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2658\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 27</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2658\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.819</text>\r\n",
       "</g>\r\n",
       "<!-- 71&#45;&gt;73 -->\r\n",
       "<g id=\"edge73\" class=\"edge\"><title>71&#45;&gt;73</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2587.77,-88.9485C2598.54,-79.526 2610.26,-69.2731 2620.98,-59.8906\"/>\r\n",
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       "<!-- 76 -->\r\n",
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       "<polygon fill=\"#f2bf9a\" stroke=\"black\" points=\"3080.5,-365 2987.5,-365 2987.5,-297 3080.5,-297 3080.5,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.947</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 10.304</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3034\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 27.98</text>\r\n",
       "</g>\r\n",
       "<!-- 75&#45;&gt;76 -->\r\n",
       "<g id=\"edge76\" class=\"edge\"><title>75&#45;&gt;76</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3034,-400.884C3034,-392.778 3034,-383.982 3034,-375.472\"/>\r\n",
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       "<!-- 89 -->\r\n",
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       "<polygon fill=\"#f7d6bf\" stroke=\"black\" points=\"3346,-365 3248,-365 3248,-297 3346,-297 3346,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 394.445</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 10.302</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.467</text>\r\n",
       "</g>\r\n",
       "<!-- 75&#45;&gt;89 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2977\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 394.475</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2977\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.648</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2977\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2977\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 26.429</text>\r\n",
       "</g>\r\n",
       "<!-- 76&#45;&gt;77 -->\r\n",
       "<g id=\"edge77\" class=\"edge\"><title>76&#45;&gt;77</title>\r\n",
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       "<polygon fill=\"#f0b58a\" stroke=\"black\" points=\"3138,-261 3044,-261 3044,-193 3138,-193 3138,-261\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3091\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 388.435</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3091\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.447</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3091\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3091\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 31.6</text>\r\n",
       "</g>\r\n",
       "<!-- 76&#45;&gt;84 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2868\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 40.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2868\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.326</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2868\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2868\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 27.68</text>\r\n",
       "</g>\r\n",
       "<!-- 77&#45;&gt;78 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2979\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.641</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2979\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.25</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2979\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2979\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 23.3</text>\r\n",
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       "<!-- 77&#45;&gt;81 -->\r\n",
       "<g id=\"edge81\" class=\"edge\"><title>77&#45;&gt;81</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2768\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2768\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2768\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 24.8</text>\r\n",
       "</g>\r\n",
       "<!-- 78&#45;&gt;79 -->\r\n",
       "<g id=\"edge79\" class=\"edge\"><title>78&#45;&gt;79</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2872\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.315</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2872\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2872\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 28.4</text>\r\n",
       "</g>\r\n",
       "<!-- 78&#45;&gt;80 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2976\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2976\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2976\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 23.8</text>\r\n",
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       "<!-- 81&#45;&gt;82 -->\r\n",
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       "<!-- 83 -->\r\n",
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       "<polygon fill=\"#f5cdb1\" stroke=\"black\" points=\"3121.5,-53 3036.5,-53 3036.5,-0 3121.5,-0 3121.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3079\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3079\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3079\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 22.8</text>\r\n",
       "</g>\r\n",
       "<!-- 81&#45;&gt;83 -->\r\n",
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       "<polygon fill=\"#f0b88f\" stroke=\"black\" points=\"3133.5,-157 3046.5,-157 3046.5,-89 3133.5,-89 3133.5,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3090\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 369.19</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3090\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.04</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3090\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3090\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 30.5</text>\r\n",
       "</g>\r\n",
       "<!-- 84&#45;&gt;85 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3194\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3194\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3194\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 33.8</text>\r\n",
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       "<!-- 84&#45;&gt;88 -->\r\n",
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       "<polygon fill=\"#f0b890\" stroke=\"black\" points=\"3224.5,-53 3139.5,-53 3139.5,-0 3224.5,-0 3224.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3182\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3182\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3182\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 30.3</text>\r\n",
       "</g>\r\n",
       "<!-- 85&#45;&gt;86 -->\r\n",
       "<g id=\"edge86\" class=\"edge\"><title>85&#45;&gt;86</title>\r\n",
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       "<!-- 87 -->\r\n",
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       "<polygon fill=\"#f0b78e\" stroke=\"black\" points=\"3327.5,-53 3242.5,-53 3242.5,-0 3327.5,-0 3327.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3285\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3285\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3285\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 30.7</text>\r\n",
       "</g>\r\n",
       "<!-- 85&#45;&gt;87 -->\r\n",
       "<g id=\"edge87\" class=\"edge\"><title>85&#45;&gt;87</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3133.63,-93.4941C3136.43,-91.9193 3139.24,-90.4073 3142,-89 3180.76,-69.2595 3193.22,-70.5889 3233,-53 3233.09,-52.9581 3233.19,-52.9161 3233.28,-52.874\"/>\r\n",
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       "<!-- 90 -->\r\n",
       "<g id=\"node91\" class=\"node\"><title>90</title>\r\n",
       "<polygon fill=\"#f5d0b6\" stroke=\"black\" points=\"3358,-261 3236,-261 3236,-193 3358,-193 3358,-261\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">LSTAT &lt;= 10.825</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.49</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.7</text>\r\n",
       "</g>\r\n",
       "<!-- 89&#45;&gt;90 -->\r\n",
       "<g id=\"edge90\" class=\"edge\"><title>89&#45;&gt;90</title>\r\n",
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       "<!-- 93 -->\r\n",
       "<g id=\"node94\" class=\"node\"><title>93</title>\r\n",
       "<polygon fill=\"#f9e3d3\" stroke=\"black\" points=\"3461.5,-253.5 3376.5,-253.5 3376.5,-200.5 3461.5,-200.5 3461.5,-253.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3419\" y=\"-238.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3419\" y=\"-223.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3419\" y=\"-208.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.0</text>\r\n",
       "</g>\r\n",
       "<!-- 89&#45;&gt;93 -->\r\n",
       "<g id=\"edge93\" class=\"edge\"><title>89&#45;&gt;93</title>\r\n",
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       "<!-- 91 -->\r\n",
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       "<polygon fill=\"#f5ceb2\" stroke=\"black\" points=\"3339.5,-149.5 3254.5,-149.5 3254.5,-96.5 3339.5,-96.5 3339.5,-149.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3297\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 22.4</text>\r\n",
       "</g>\r\n",
       "<!-- 90&#45;&gt;91 -->\r\n",
       "<g id=\"edge91\" class=\"edge\"><title>90&#45;&gt;91</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M3297,-192.884C3297,-182.326 3297,-170.597 3297,-159.854\"/>\r\n",
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       "<!-- 92 -->\r\n",
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       "<polygon fill=\"#f6d2b9\" stroke=\"black\" points=\"3442.5,-149.5 3357.5,-149.5 3357.5,-96.5 3442.5,-96.5 3442.5,-149.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3400\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3400\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3400\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 21.0</text>\r\n",
       "</g>\r\n",
       "<!-- 90&#45;&gt;92 -->\r\n",
       "<g id=\"edge92\" class=\"edge\"><title>90&#45;&gt;92</title>\r\n",
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       "<polygon fill=\"#fbece2\" stroke=\"black\" points=\"3960,-469 3860,-469 3860,-401 3960,-401 3960,-469\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">TAX &lt;= 551.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 13.188</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 36</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3910\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 11.672</text>\r\n",
       "</g>\r\n",
       "<!-- 94&#45;&gt;95 -->\r\n",
       "<g id=\"edge95\" class=\"edge\"><title>94&#45;&gt;95</title>\r\n",
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       "<!-- 120 -->\r\n",
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       "<polygon fill=\"#f8decb\" stroke=\"black\" points=\"4879.5,-469 4772.5,-469 4772.5,-401 4879.5,-401 4879.5,-469\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-453.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 0.593</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-438.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 8.79</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-423.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 44</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-408.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.834</text>\r\n",
       "</g>\r\n",
       "<!-- 94&#45;&gt;120 -->\r\n",
       "<g id=\"edge120\" class=\"edge\"><title>94&#45;&gt;120</title>\r\n",
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       "<g id=\"node97\" class=\"node\"><title>96</title>\r\n",
       "<polygon fill=\"#f9e1d0\" stroke=\"black\" points=\"3822,-365 3724,-365 3724,-297 3822,-297 3822,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.004</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.129</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.756</text>\r\n",
       "</g>\r\n",
       "<!-- 95&#45;&gt;96 -->\r\n",
       "<g id=\"edge96\" class=\"edge\"><title>95&#45;&gt;96</title>\r\n",
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       "<polygon fill=\"#fcf0e8\" stroke=\"black\" points=\"4109,-365 3987,-365 3987,-297 4109,-297 4109,-365\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">LSTAT &lt;= 19.645</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 9.131</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 27</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 10.311</text>\r\n",
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       "<!-- 95&#45;&gt;105 -->\r\n",
       "<g id=\"edge105\" class=\"edge\"><title>95&#45;&gt;105</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"3611\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 93.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.331</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.143</text>\r\n",
       "</g>\r\n",
       "<!-- 96&#45;&gt;97 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3773\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DIS &lt;= 1.741</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.01</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3773\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 17.9</text>\r\n",
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       "<!-- 96&#45;&gt;102 -->\r\n",
       "<g id=\"edge102\" class=\"edge\"><title>96&#45;&gt;102</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"3503\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3503\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3503\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 17.8</text>\r\n",
       "</g>\r\n",
       "<!-- 97&#45;&gt;98 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3611\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 392.075</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.347</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3611\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.7</text>\r\n",
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       "<!-- 97&#45;&gt;99 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3520\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.895</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3520\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3520\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.1</text>\r\n",
       "</g>\r\n",
       "<!-- 99&#45;&gt;100 -->\r\n",
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       "<polygon fill=\"#f9e0cf\" stroke=\"black\" points=\"3666.5,-53 3581.5,-53 3581.5,-0 3666.5,-0 3666.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3624\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.09</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3624\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3624\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.9</text>\r\n",
       "</g>\r\n",
       "<!-- 99&#45;&gt;101 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3719\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3719\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3719\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 17.8</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3822\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3822\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3822\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 18.0</text>\r\n",
       "</g>\r\n",
       "<!-- 102&#45;&gt;104 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4048\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 395.995</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.756</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4048\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 13.8</text>\r\n",
       "</g>\r\n",
       "<!-- 105&#45;&gt;106 -->\r\n",
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       "<!-- 113 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4217\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 30.201</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 6.73</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 22</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 9.518</text>\r\n",
       "</g>\r\n",
       "<!-- 105&#45;&gt;113 -->\r\n",
       "<g id=\"edge113\" class=\"edge\"><title>105&#45;&gt;113</title>\r\n",
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       "<polygon fill=\"#f9e2d1\" stroke=\"black\" points=\"3981,-157 3883,-157 3883,-89 3981,-89 3981,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3932\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.208</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3932\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.056</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3932\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3932\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.367</text>\r\n",
       "</g>\r\n",
       "<!-- 106&#45;&gt;107 -->\r\n",
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       "<!-- 110 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4050\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">NOX &lt;= 0.682</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4050\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.102</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4050\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4050\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 11.45</text>\r\n",
       "</g>\r\n",
       "<!-- 106&#45;&gt;110 -->\r\n",
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       "<polygon fill=\"#f9e4d4\" stroke=\"black\" points=\"3813.5,-53 3728.5,-53 3728.5,-0 3813.5,-0 3813.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"3771\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.25</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3771\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3771\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.7</text>\r\n",
       "</g>\r\n",
       "<!-- 107&#45;&gt;108 -->\r\n",
       "<g id=\"edge108\" class=\"edge\"><title>107&#45;&gt;108</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"3874\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3874\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3874\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.7</text>\r\n",
       "</g>\r\n",
       "<!-- 107&#45;&gt;109 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"3977\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3977\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3977\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 10.4</text>\r\n",
       "</g>\r\n",
       "<!-- 110&#45;&gt;111 -->\r\n",
       "<g id=\"edge111\" class=\"edge\"><title>110&#45;&gt;111</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4024.47,-88.9485C4017.54,-79.9834 4010.04,-70.2666 4003.08,-61.2629\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"4080\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4080\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4080\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 12.5</text>\r\n",
       "</g>\r\n",
       "<!-- 110&#45;&gt;112 -->\r\n",
       "<g id=\"edge112\" class=\"edge\"><title>110&#45;&gt;112</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M4060.49,-88.9485C4063.16,-80.5323 4066.05,-71.4536 4068.75,-62.9243\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"4217\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 353.535</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.059</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 18</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4217\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 10.217</text>\r\n",
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       "<!-- 113&#45;&gt;114 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4409\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DIS &lt;= 1.548</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4409\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.172</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4409\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4409\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 6.375</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"4187\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.031</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4187\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4187\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 8.217</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"4300\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.573</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4300\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 12</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4300\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 11.217</text>\r\n",
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       "<!-- 114&#45;&gt;116 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4409\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4409\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4409\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 5.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"4512\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.562</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4512\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4512\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 7.75</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"4826\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 77.95</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.269</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 16</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4826\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.362</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5426\" y=\"-349.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 318.835</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5426\" y=\"-334.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 5.061</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5426\" y=\"-319.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 28</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5426\" y=\"-304.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.389</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"4723\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">PTRATIO &lt;= 18.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 2.025</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 22.1</text>\r\n",
       "</g>\r\n",
       "<!-- 121&#45;&gt;122 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4890\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RAD &lt;= 3.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.019</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 12</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 18.45</text>\r\n",
       "</g>\r\n",
       "<!-- 121&#45;&gt;127 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"4613\" y=\"-134.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4613\" y=\"-119.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4613\" y=\"-104.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.8</text>\r\n",
       "</g>\r\n",
       "<!-- 122&#45;&gt;123 -->\r\n",
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       "<polygon fill=\"#f5cdb0\" stroke=\"black\" points=\"4772,-157 4674,-157 4674,-89 4772,-89 4772,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DIS &lt;= 3.62</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.349</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 22.867</text>\r\n",
       "</g>\r\n",
       "<!-- 122&#45;&gt;124 -->\r\n",
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       "<polygon fill=\"#f4cbad\" stroke=\"black\" points=\"4658.5,-53 4573.5,-53 4573.5,-0 4658.5,-0 4658.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4616\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4616\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4616\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 23.7</text>\r\n",
       "</g>\r\n",
       "<!-- 124&#45;&gt;125 -->\r\n",
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       "<polygon fill=\"#f5ceb2\" stroke=\"black\" points=\"4769,-53 4677,-53 4677,-0 4769,-0 4769,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.003</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4723\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 22.45</text>\r\n",
       "</g>\r\n",
       "<!-- 124&#45;&gt;126 -->\r\n",
       "<g id=\"edge126\" class=\"edge\"><title>124&#45;&gt;126</title>\r\n",
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       "<polygon fill=\"black\" stroke=\"black\" points=\"4726.5,-63.2367 4723,-53.2367 4719.5,-63.2367 4726.5,-63.2367\"/>\r\n",
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       "<!-- 128 -->\r\n",
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       "<polygon fill=\"#f9e0ce\" stroke=\"black\" points=\"4936.5,-157 4843.5,-157 4843.5,-89 4936.5,-89 4936.5,-157\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 5.628</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.527</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4890\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.1</text>\r\n",
       "</g>\r\n",
       "<!-- 127&#45;&gt;128 -->\r\n",
       "<g id=\"edge128\" class=\"edge\"><title>127&#45;&gt;128</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"5044\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B &lt;= 396.07</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 1.062</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 19.233</text>\r\n",
       "</g>\r\n",
       "<!-- 127&#45;&gt;131 -->\r\n",
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       "<polygon fill=\"#fae5d6\" stroke=\"black\" points=\"4872.5,-53 4787.5,-53 4787.5,-0 4872.5,-0 4872.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"4830\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4830\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4830\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.4</text>\r\n",
       "</g>\r\n",
       "<!-- 128&#45;&gt;129 -->\r\n",
       "<g id=\"edge129\" class=\"edge\"><title>128&#45;&gt;129</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"4937\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.122</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4937\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"4937\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.95</text>\r\n",
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       "<!-- 128&#45;&gt;130 -->\r\n",
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       "<polygon fill=\"#f7d8c2\" stroke=\"black\" points=\"5086.5,-53 5001.5,-53 5001.5,-0 5086.5,-0 5086.5,-53\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.36</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5044\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 18.8</text>\r\n",
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       "<!-- 131&#45;&gt;132 -->\r\n",
       "<g id=\"edge132\" class=\"edge\"><title>131&#45;&gt;132</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"5151\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.562</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5151\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5151\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 20.75</text>\r\n",
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       "<!-- 131&#45;&gt;133 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"5426\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 5.765</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5426\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 3.269</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5426\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 14.275</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5745\" y=\"-245.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">AGE &lt;= 87.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5745\" y=\"-230.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.776</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5745\" y=\"-215.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 16</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5745\" y=\"-200.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 16.225</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5365\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">DIS &lt;= 3.431</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5365\" y=\"-126.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 4.278</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5365\" y=\"-111.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5365\" y=\"-96.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 15.46</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5487\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">CRIM &lt;= 11.988</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5258\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5368\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.429</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5368\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5368\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 13.967</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5484\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = 0.385</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5484\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5484\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 13.717</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5594\" y=\"-37.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">mse = &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5594\" y=\"-22.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"5594\" y=\"-7.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = 11.7</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"5745\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">RM &lt;= 6.046</text>\r\n",
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      "text/plain": [
       "<graphviz.files.Source at 0x28eeb5669b0>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dot_data = tree.export_graphviz(best_tree, out_file=None, \n",
    "                                feature_names=X_train.columns,  \n",
    "                                filled=True)\n",
    "\n",
    "# Draw graph\n",
    "graph = graphviz.Source(dot_data, format=\"png\") \n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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